Question
In 2018, there were 5200 students in a university. If 70%
were girls and the remaining were boys, and in 2019 the number of girls increased by 30% while the number of boys decreased by 10%, then what is the percentage change in the total number of students in 2019 as compared to 2018?Solution
ATQ,
Number of girls in 2018 = 5200 × 0.70 = 3640
Number of boys in 2018 = 5200 - 3640 = 1560
Number of girls in 2019 = 3640 × (13/10) = 4732
Number of boys in 2019 = 1560 × 0.9 = 1404
Total number of students in 2019 = 4732 + 1404 = 6136
So, percentage change in total number of students
= {(6136 - 5200)/5200} × 100 = 18%
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